Exchange Formulae for the Stieltjes–Poisson Transform over Weighted Lebesgue Spaces

Exchange Formulae for the Stieltjes–Poisson Transform over Weighted Lebesgue Spaces

This paper aims to develop exchange formulae for the Stieltjes–Poisson transform by using Mellin-type convolutions in the context of weighted Lebesgue spaces. A key result is the introduction of bilinear and continuous Mellin-type convolutions, expanding the scope of the analysis to include the spac...

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Bibliographic Details
Main Authors: Hari M. Srivastava, Emilio Ramón Negrín, Jeetendrasingh Maan
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Axioms
Subjects:
Stieltjes–Poisson transform
weighted Lebesgue spaces
Mellin-type convolutions
exchange formulae
continuous functions vanishing at infinity
Online Access:https://www.mdpi.com/2075-1680/13/11/748
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